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Finding the Fourth Proportional to 635.56, 952.26 and 513.88

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Solution

The fourth proportional to 635.56, 952.26 and 513.88 is: 769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.56 : 952.26 = 513.88 : x
  2. Step 2: Convert to fraction form
    635.56/952.26 = 513.88/x
  3. Step 3: Cross multiply
    635.56x = 952.26 × 513.88
  4. Step 4: Simplify right side
    635.56x = 489,347.37
  5. Step 5: Solve for x
    x = 489,347.37/635.56
  6. Step 6: Final answer
    x = 769.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.